On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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Answer:

3x=5y times 7x=7=49

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The acute angles are equal to each other, therefore the equation 3x+5=7x-7 can be made

3x+5=7x-7 solve for x to find the measurement of the angels

-3x    -3x

5=4x-7

+7   +7

12=4x

x=3 now substitute x with 3

3x+5 would be 3(3)+5 and 7x-7 would be 7(3)-7

because the angles are equal though, you only need to solve one to get your answer

3(3)+5

9+5

14

The remainder when 9234 is divided by 52 is 30

the quotient is 177 R 30

Division is onw of the mathematical operators that is applied in sharing.

The quotient is the result of dividing two numbers by each other, the number being divided is the dividend while the number dividing is the divisor.

As in the case of 9234 is being divided by 52, the dividend is 9234, while the divisor is 52 the result of the division is the quotient.

the division is done to get

9234 / 52

= 177 30/52

the remainder from the division involving 9234  and 52 is 30, the mixed number is 177 30/52

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hope this helps...

Let's begin by listing out the information given to us:

Let nickel be represented as n, and dimes as d

Melanie has $1.80 worth of nickels and dimes:

She has 12 more nickels than dimes:

The point of intersection of the graph is (0.6, 1.74). Therefore, the number of nickels is 0.6 while the number of dimes is 1.74

The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,

µ = 3. 5 and σ = 0. 5

and the random sample of 100 male students has a mean GPA 3.42 is considered.

The z-score value is,

Z=( 3.42-3.5)/ (0.5/√100)

Z= -0.08/0.05

Z=-1.6

The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:

The required probability is,

P(X>3.42)=P(z>-1.6)

= 1- P(Z≤-1.6)

From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.

P(X>3.42)= 1- P(Z≤-1.6)

=1-0.0548

=0.9452

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.

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The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Solution

A linear model passes through the points (20, 607) and (45, 1182).

The equation of the line, with x as the input and y as the output.

The equation of the line is

Answer:

The answer is 186 inches^2

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

The method of teaching all subject areas around one central theme is referred to as "Integrated Curriculum."

We have,

The method of teaching all subject areas around one central theme is referred to as "Integrated Curriculum."

It is an approach to teaching and learning that combines different subjects and topics into a single, cohesive plan of study.

The goal is to help students see the connections between different subjects and apply their knowledge in practical ways.

By integrating subjects, teachers can create a more engaging and meaningful learning experience for their students.

For example, a unit on birds can integrate science, math, language arts, social studies, and art. Students can learn about the anatomy and habitats of birds in science, count and classify birds in math, read and write about birds in language arts, study the migration patterns of birds in social studies, and draw pictures of birds in art.

Thus,

The method of teaching all subject areas around one central theme is referred to as "Integrated Curriculum."

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Answer:

7/12

Step-by-step explanation:

\(\frac{2}{3}\) + (-\(\frac{5}{6}\)) + \(\frac{3}{4}\) = \(\frac{8}{12}\) + (-\(\frac{10}{12}\)) + \(\frac{9}{12}\) = -\(\frac{2}{12}\) + \(\frac{9}{12}\) = \(\frac{7}{12}\)

Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

Answer:

X = 25

Step-by-step explanation:

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

-15 is not equal to 10

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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Answer:

\(y -8= \frac{9}{2}(x +6)\)

Step-by-step explanation:

Given

\(f(-6) = 8\)

\(f(-8) = -2\)

Required

Determine the equation in point-slope form

The general function notation is:

\(f(x) = y\)

So, in  \(f(-6) = 8\)

\((x_1,y_1) = (-6,8)\)

\(f(-8) = -1\)

\((x_2,y_2) = (-8,-1)\)

Calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2-x_1}\)

\(m = \frac{-1-8}{-8-(-6)}\)

\(m = \frac{-1-8}{-8+6}\)

\(m = \frac{-9}{-2}\)

\(m = \frac{9}{2}\)

The equation is then calculated as:

\(y -y_1= m(x-x_1)\)

\(y -8= \frac{9}{2}(x - (-6))\)

\(y -8= \frac{9}{2}(x +6)\)

Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

An example of an item where you would need to find the area of a square is a square table.

An example of an item where you would need to find the area of a rectangle is a phone that has a rectangular shape.

It's important to note that the area of a square is the multiplication of its sides by itself. For example, if the side is 4cm, the area will be:

= 4²

= 4 × 4.

= 16cm²

The area of a rectangle will be:

= Length × Width

Assuming length and width are 5cm and 2cm. This will be:

= 5 × 2

= 10cm²

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To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer:

15 full servings before not having enough left over for another full serving.

Step-by-step explanation:

Answer:

1997 > y

Step-by-step explanation:

The inequality that presents year before 1997 is y<1997

Inequality shows relation between two expression which are not equal to each others.

According to given condition,

The emoji were introduced in the year 1997,

There can be infinite year before 1997, when emoji were not introduced.

The year y that describes inequality the year before 1997 can be represented as,

y<1997

The required inequality is y<1997.

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Answer:3 than 4 but the bottom is all wes going to stay 12

Step-by-step explanation:

Answer:

in the image

answer in box is in image 3

Step-by-step explanation:

explanation is in the image above

The solution of the absolute function is  

t < -4

 t > 22/5

In interval notation it will be    (-∞,-4) ;(22/5,+∞).

What is absolute function?

An absolute value function is a function in algebra which consists of the variable in the absolute value bars. In general form of the absolute value function is f(x) = a |x - h| + k  where h, k are constants and the most commonly used form of this function is f(x) = |x|. Here a = 1 and h = k = 0.

The Absolute Value term is |5t-1|

For the Negative case it will be -(5t-1)

For the Positive case it will be  (5t-1)

at first we will solve for negative case:

-(5t-1) > 21

    Multiplying by the minus sign we get,

     -5t+1 > 21

    Rearranging and Adding up we get,

     -5t > 20

    Dividing both sides by 5

     -t > 4

    Multiplying both sides by (-1) we get,

     t < -4

 Now we will solve for positive case:

(5t-1) > 21

    Rearranging and Adding  up we get,

     5t > 22

    Dividing both sides by 5 we get,

     t > (22/5)

Hence the solution of the absolute function is  

t < -4

 t > 22/5

In interval notation it will be    (-∞,-4) ;(22/5,+∞).

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The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

x = 12

Step-by-step explanation:

Answer:

16 (4x4)

25 (5x5)

36 (6x6)

Step-by-step explanation: